Solve 9/25div9/19*1/2

$$\frac { 9 } { 25 } \div \frac { 9 } { 19 } \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{19}{50}=0.38$$

Solution Steps

Divide \frac{9}{25} by \frac{9}{19} by multiplying \frac{9}{25} by the reciprocal of \frac{9}{19}.

$$\frac{9}{25}\times \frac{19}{9}\times \frac{1}{2}$$

Multiply \frac{9}{25} times \frac{19}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 19}{25\times 9}\times \frac{1}{2}$$

Cancel out 9 in both numerator and denominator.

$$\frac{19}{25}\times \frac{1}{2}$$

Multiply \frac{19}{25} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 1}{25\times 2}$$

Do the multiplications in the fraction \frac{19\times 1}{25\times 2}.

$$\frac{19}{50}$$

Factor

$$\frac{19}{2 \cdot 5 ^ {2}} = 0.38$$